22504040401440 has 384 divisors, whose sum is σ = 76686461752320. Its totient is φ = 5514419699712.

The previous prime is 22504040401417. The next prime is 22504040401457. The reversal of 22504040401440 is 4410404040522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22504040401398 and 22504040401407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1250979966 + ... + 1250997954.

It is an arithmetic number, because the mean of its divisors is an integer number (199704327480).

Almost surely, 2^{22504040401440} is an apocalyptic number.

22504040401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22504040401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38343230876160).

22504040401440 is an abundant number, since it is smaller than the sum of its proper divisors (54182421350880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22504040401440 is a wasteful number, since it uses less digits than its factorization.

22504040401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18916 (or 18908 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 22504040401440 its reverse (4410404040522), we get a palindrome (26914444441962).

The spelling of 22504040401440 in words is "twenty-two trillion, five hundred four billion, forty million, four hundred one thousand, four hundred forty".